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Critical parameters of the three-dimensional Ising spin glass

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arxiv 1310.2910 v1 pith:W3FXTY47 submitted 2013-10-10 cond-mat.dis-nn

Critical parameters of the three-dimensional Ising spin glass

Janus Collaboration: M. Baity-Jesi , R. A. Ba\~nos , A. Cruz , L. A. Fernandez , J. M. Gil-Narvion , A. Gordillo-Guerrero , D. I\~niguez , A. Maiorano
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F. Mantovani E. Marinari V. Martin-Mayor J. Monforte-Garcia A. Mu\~noz Sudupe D. Navarro G. Parisi S. Perez-Gaviro M. Pivanti F. Ricci-Tersenghi J. J. Ruiz-Lorenzo S. F. Schifano B. Seoane A. Tarancon R. Tripiccione D. Yllanes
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classification cond-mat.dis-nn
keywords scalingcriticalisingcorrectionsexponentglassspinthree-dimensional
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We report a high-precision finite-size scaling study of the critical behavior of the three-dimensional Ising Edwards-Anderson model (the Ising spin glass). We have thermalized lattices up to L=40 using the Janus dedicated computer. Our analysis takes into account leading-order corrections to scaling. We obtain Tc = 1.1019(29) for the critical temperature, \nu = 2.562(42) for the thermal exponent, \eta = -0.3900(36) for the anomalous dimension and \omega = 1.12(10) for the exponent of the leading corrections to scaling. Standard (hyper)scaling relations yield \alpha = -5.69(13), \beta = 0.782(10) and \gamma = 6.13(11). We also compute several universal quantities at Tc.

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  1. Low energy excitations in a long prism geometry: testing the lower critical dimension of the Ising spin glass

    cond-mat.dis-nn 2026-01 conditional novelty 7.0

    A long-prism simulation of the 3D Ising spin glass yields lower critical dimension D_lc = 2.49(3), favoring mean-field 5/2 over the droplet-model value ≈2.61.